remote interior angles
In mathematics, remote interior angles refer to the pair of angles that are inside a triangle but not adjacent or next to each other
In mathematics, remote interior angles refer to the pair of angles that are inside a triangle but not adjacent or next to each other. They are formed by one side of the triangle and the extension of another side that is not adjacent to it.
To better understand remote interior angles, let’s consider an example triangle ABC:
A
/ \
/ \
/ \
B——-C
In this triangle, angle A is formed by side AB and the extension of side AC, angle B is formed by side BC and the extension of side BA, and angle C is formed by side CA and the extension of side CB.
The remote interior angles, in this case, would be angles B and C. They are called remote because they are not adjacent to each other, i.e., they do not share a side.
It is important to note that the sum of the measures of the remote interior angles of a triangle is equal to the measure of the third angle. In other words, angle A + angle B = angle C.
This property, known as the Triangle Sum Theorem, holds true for all triangles, regardless of their type (equilateral, isosceles, or scalene).
For example, if angle A measures 40 degrees and angle B measures 60 degrees, then angle C would measure 80 degrees because 40 + 60 = 80.
Understanding remote interior angles is useful in various geometric proofs and applications involving triangles.
More Answers:
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The Properties of Equilateral Triangles: Side Length, Perimeter, Height, Area, and Angle Measures